Identify the maximum and minimum values of the function y = 3 cos x in the interval [-2π, 2π]. use your understanding of transformations, not your graphing calculator.

maximum value is 3 at x=0,-2π and 2π

minimum value is -3 at x= -π and π.

Explanation:

we have been given the function y=3cosx

In order to find the maxima and minima, we can first find the critical points.

critical points occurs where y'=0

these are critical points. our end points are  -2π and 2π

so, we find the value of the function at critical points as well as at end points

Among these values maximum value is 3 and minimum value is -3

therefore, maximum value is 3 at x=0,-2π and 2π

minimum value is -3 at x= -π and π.

stethere all not eveanp-by-step explanation:

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step-by-step explanation: